1630705582080 has 1152 divisors, whose sum is σ = 6175849057560. Its totient is φ = 412782428160.

The previous prime is 1630705582057. The next prime is 1630705582081. The reversal of 1630705582080 is 802855070361.

1630705582080 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 70 + 558 + 20 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1230715109376 + 399990472704 = 1109376^2 + 632448^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630705582081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39773306860 + ... + 39773306900.

Almost surely, 2^{1630705582080} is an apocalyptic number.

1630705582080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630705582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087924528780).

1630705582080 is an abundant number, since it is smaller than the sum of its proper divisors (4545143475480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1630705582080 is an frugal number, since it uses more digits than its factorization.

1630705582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1630705582080 in words is "one trillion, six hundred thirty billion, seven hundred five million, five hundred eighty-two thousand, eighty".